Question 969101
Convert the quadratic equation to vertex form.
The maximum occurs at the vertex.
{{{H(t)=-2t^2+20t+10}}}
{{{H(t)=-2(t^2-10t)+10}}}
{{{H(t)=-2(t^2-10t+25)+10+2(25)}}}
{{{H(t)=-2(t-5)^2+10+50}}}
{{{H(t)=-2(t-5)^2+60}}}
The maximum height of 60 occurs at t=5.
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*[illustration desx7.JPG].